var primetab = [
2,3,5,7,11,13,17,19,
23,29,31,37,41,43,47,53,
59,61,67,71,73,79,83,89,
97,101,103,107,109,113,127,131,
137,139,149,151,157,163,167,173,
179,181,191,193,197,199,211,223,
227,229,233,239,241,251,257,263,
269,271,277,281,283,293,307,311,
313,317,331,337,347,349,353,359,
367,373,379,383,389,397,401,409,
419,421,431,433,439,443,449,457,
461,463,467,479,487,491,499,503,
509,521,523,541,547,557,563,569,
571,577,587,593,599,601,607,613,
617,619,631,641,643,647,653,659,
661,673,677,683,691,701,709,719,
727,733,739,743,751,757,761,769,
773,787,797,809,811,821,823,827,
829,839,853,857,859,863,877,881,
883,887,907,911,919,929,937,941,
947,953,967,971,977,983,991,997,
1009,1013,1019,1021,1031,1033,1039,1049,
1051,1061,1063,1069,1087,1091,1093,1097,
1103,1109,1117,1123,1129,1151,1153,1163,
1171,1181,1187,1193,1201,1213,1217,1223,
1229,1231,1237,1249,1259,1277,1279,1283,
1289,1291,1297,1301,1303,1307,1319,1321,
1327,1361,1367,1373,1381,1399,1409,1423,
1427,1429,1433,1439,1447,1451,1453,1459,
1471,1481,1483,1487,1489,1493,1499,1511,
1523,1531,1543,1549,1553,1559,1567,1571,
1579,1583,1597,1601,1607,1609,1613,1619,
1621,1627,1637,1657,1663,1667,1669,1693,
1697,1699,1709,1721,1723,1733,1741,1747,
1753,1759,1777,1783,1787,1789,1801,1811,
1823,1831,1847,1861,1867,1871,1873,1877,
1879,1889,1901,1907,1913,1931,1933,1949,
1951,1973,1979,1987,1993,1997,1999,2003,
2011,2017,2027,2029,2039,2053,2063,2069,
2081,2083,2087,2089,2099,2111,2113,2129,
2131,2137,2141,2143,2153,2161,2179,2203,
2207,2213,2221,2237,2239,2243,2251,2267,
2269,2273,2281,2287,2293,2297,2309,2311,
2333,2339,2341,2347,2351,2357,2371,2377,
2381,2383,2389,2393,2399,2411,2417,2423,
2437,2441,2447,2459,2467,2473,2477,2503,
2521,2531,2539,2543,2549,2551,2557,2579,
2591,2593,2609,2617,2621,2633,2647,2657,
2659,2663,2671,2677,2683,2687,2689,2693,
2699,2707,2711,2713,2719,2729,2731,2741,
2749,2753,2767,2777,2789,2791,2797,2801,
2803,2819,2833,2837,2843,2851,2857,2861,
2879,2887,2897,2903,2909,2917,2927,2939,
2953,2957,2963,2969,2971,2999,3001,3011,
3019,3023,3037,3041,3049,3061,3067,3079,
3083,3089,3109,3119,3121,3137,3163,3167,
3169,3181,3187,3191,3203,3209,3217,3221,
3229,3251,3253,3257,3259,3271,3299,3301,
3307,3313,3319,3323,3329,3331,3343,3347,
3359,3361,3371,3373,3389,3391,3407,3413,
3433,3449,3457,3461,3463,3467,3469,3491,
3499,3511,3517,3527,3529,3533,3539,3541,
3547,3557,3559,3571,3581,3583,3593,3607,
3613,3617,3623,3631,3637,3643,3659,3671,
3673,3677,3691,3697,3701,3709,3719,3727,
3733,3739,3761,3767,3769,3779,3793,3797,
3803,3821,3823,3833,3847,3851,3853,3863,
3877,3881,3889,3907,3911,3917,3919,3923,
3929,3931,3943,3947,3967,3989,4001,4003,
4007,4013,4019,4021,4027,4049,4051,4057,
4073,4079,4091,4093,4099,4111,4127,4129,
4133,4139,4153,4157,4159,4177,4201,4211,
4217,4219,4229,4231,4241,4243,4253,4259,
4261,4271,4273,4283,4289,4297,4327,4337,
4339,4349,4357,4363,4373,4391,4397,4409,
4421,4423,4441,4447,4451,4457,4463,4481,
4483,4493,4507,4513,4517,4519,4523,4547,
4549,4561,4567,4583,4591,4597,4603,4621,
4637,4639,4643,4649,4651,4657,4663,4673,
4679,4691,4703,4721,4723,4729,4733,4751,
4759,4783,4787,4789,4793,4799,4801,4813,
4817,4831,4861,4871,4877,4889,4903,4909,
4919,4931,4933,4937,4943,4951,4957,4967,
4969,4973,4987,4993,4999,5003,5009,5011,
5021,5023,5039,5051,5059,5077,5081,5087,
5099,5101,5107,5113,5119,5147,5153,5167,
5171,5179,5189,5197,5209,5227,5231,5233,
5237,5261,5273,5279,5281,5297,5303,5309,
5323,5333,5347,5351,5381,5387,5393,5399,
5407,5413,5417,5419,5431,5437,5441,5443,
5449,5471,5477,5479,5483,5501,5503,5507,
5519,5521,5527,5531,5557,5563,5569,5573,
5581,5591,5623,5639,5641,5647,5651,5653,
5657,5659,5669,5683,5689,5693,5701,5711,
5717,5737,5741,5743,5749,5779,5783,5791,
5801,5807,5813,5821,5827,5839,5843,5849,
5851,5857,5861,5867,5869,5879,5881,5897,
5903,5923,5927,5939,5953,5981,5987,6007,
6011,6029,6037,6043,6047,6053,6067,6073,
6079,6089,6091,6101,6113,6121,6131,6133,
6143,6151,6163,6173,6197,6199,6203,6211,
6217,6221,6229,6247,6257,6263,6269,6271,
6277,6287,6299,6301,6311,6317,6323,6329,
6337,6343,6353,6359,6361,6367,6373,6379,
6389,6397,6421,6427,6449,6451,6469,6473,
6481,6491,6521,6529,6547,6551,6553,6563,
6569,6571,6577,6581,6599,6607,6619,6637,
6653,6659,6661,6673,6679,6689,6691,6701,
6703,6709,6719,6733,6737,6761,6763,6779,
6781,6791,6793,6803,6823,6827,6829,6833,
6841,6857,6863,6869,6871,6883,6899,6907,
6911,6917,6947,6949,6959,6961,6967,6971,
6977,6983,6991,6997,7001,7013,7019,7027,
7039,7043,7057,7069,7079,7103,7109,7121,
7127,7129,7151,7159,7177,7187,7193,7207,
7211,7213,7219,7229,7237,7243,7247,7253,
7283,7297,7307,7309,7321,7331,7333,7349,
7351,7369,7393,7411,7417,7433,7451,7457,
7459,7477,7481,7487,7489,7499,7507,7517,
7523,7529,7537,7541,7547,7549,7559,7561,
7573,7577,7583,7589,7591,7603,7607,7621,
7639,7643,7649,7669,7673,7681,7687,7691,
7699,7703,7717,7723,7727,7741,7753,7757,
7759,7789,7793,7817,7823,7829,7841,7853,
7867,7873,7877,7879,7883,7901,7907,7919,
7927,7933,7937,7949,7951,7963,7993,8009,
8011,8017,8039,8053,8059,8069,8081,8087,
8089,8093,8101,8111,8117,8123,8147,8161,
8167,8171,8179,8191,8209,8219,8221,8231,
8233,8237,8243,8263,8269,8273,8287,8291,
8293,8297,8311,8317,8329,8353,8363,8369,
8377,8387,8389,8419,8423,8429,8431,8443,
8447,8461,8467,8501,8513,8521,8527,8537,
8539,8543,8563,8573,8581,8597,8599,8609,
8623,8627,8629,8641,8647,8663,8669,8677,
8681,8689,8693,8699,8707,8713,8719,8731,
8737,8741,8747,8753,8761,8779,8783,8803,
8807,8819,8821,8831,8837,8839,8849,8861,
8863,8867,8887,8893,8923,8929,8933,8941,
8951,8963,8969,8971,8999,9001,9007,9011,
9013,9029,9041,9043,9049,9059,9067,9091,
9103,9109,9127,9133,9137,9151,9157,9161,
9173,9181,9187,9199,9203,9209,9221,9227,
9239,9241,9257,9277,9281,9283,9293,9311,
9319,9323,9337,9341,9343,9349,9371,9377,
9391,9397,9403,9413,9419,9421,9431,9433,
9437,9439,9461,9463,9467,9473,9479,9491,
9497,9511,9521,9533,9539,9547,9551,9587,
9601,9613,9619,9623,9629,9631,9643,9649,
9661,9677,9679,9689,9697,9719,9721,9733,
9739,9743,9749,9767,9769,9781,9787,9791,
9803,9811,9817,9829,9833,9839,9851,9857,
9859,9871,9883,9887,9901,9907,9923,9929,
9931,9941,9949,9967,9973,10007,10009,10037,
10039,10061,10067,10069,10079,10091,10093,10099,
10103,10111,10133,10139,10141,10151,10159,10163,
10169,10177,10181,10193,10211,10223,10243,10247,
10253,10259,10267,10271,10273,10289,10301,10303,
10313,10321,10331,10333,10337,10343,10357,10369,
10391,10399,10427,10429,10433,10453,10457,10459,
10463,10477,10487,10499,10501,10513,10529,10531,
10559,10567,10589,10597,10601,10607,10613,10627,
10631,10639,10651,10657,10663,10667,10687,10691,
10709,10711,10723,10729,10733,10739,10753,10771,
10781,10789,10799,10831,10837,10847,10853,10859,
10861,10867,10883,10889,10891,10903,10909,10937,
10939,10949,10957,10973,10979,10987,10993,11003,
11027,11047,11057,11059,11069,11071,11083,11087,
11093,11113,11117,11119,11131,11149,11159,11161,
11171,11173,11177,11197,11213,11239,11243,11251,
11257,11261,11273,11279,11287,11299,11311,11317,
11321,11329,11351,11353,11369,11383,11393,11399,
11411,11423,11437,11443,11447,11467,11471,11483,
11489,11491,11497,11503,11519,11527,11549,11551,
11579,11587,11593,11597,11617,11621,11633,11657,
11677,11681,11689,11699,11701,11717,11719,11731,
11743,11777,11779,11783,11789,11801,11807,11813,
11821,11827,11831,11833,11839,11863,11867,11887,
11897,11903,11909,11923,11927,11933,11939,11941,
11953,11959,11969,11971,11981,11987,12007,12011,
12037,12041,12043,12049,12071,12073,12097,12101,
12107,12109,12113,12119,12143,12149,12157,12161,
12163,12197,12203,12211,12227,12239,12241,12251,
12253,12263,12269,12277,12281,12289,12301,12323,
12329,12343,12347,12373,12377,12379,12391,12401,
12409,12413,12421,12433,12437,12451,12457,12473,
12479,12487,12491,12497,12503,12511,12517,12527,
12539,12541,12547,12553,12569,12577,12583,12589,
12601,12611,12613,12619,12637,12641,12647,12653,
12659,12671,12689,12697,12703,12713,12721,12739,
12743,12757,12763,12781,12791,12799,12809,12821,
12823,12829,12841,12853,12889,12893,12899,12907,
12911,12917,12919,12923,12941,12953,12959,12967,
12973,12979,12983,13001,13003,13007,13009,13033,
13037,13043,13049,13063,13093,13099,13103,13109,
13121,13127,13147,13151,13159,13163,13171,13177,
13183,13187,13217,13219,13229,13241,13249,13259,
13267,13291,13297,13309,13313,13327,13331,13337,
13339,13367,13381,13397,13399,13411,13417,13421,
13441,13451,13457,13463,13469,13477,13487,13499,
13513,13523,13537,13553,13567,13577,13591,13597,
13613,13619,13627,13633,13649,13669,13679,13681,
13687,13691,13693,13697,13709,13711,13721,13723,
13729,13751,13757,13759,13763,13781,13789,13799,
13807,13829,13831,13841,13859,13873,13877,13879,
13883,13901,13903,13907,13913,13921,13931,13933,
13963,13967,13997,13999,14009,14011,14029,14033,
14051,14057,14071,14081,14083,14087,14107,14143,
14149,14153,14159,14173,14177,14197,14207,14221,
14243,14249,14251,14281,14293,14303,14321,14323,
14327,14341,14347,14369,14387,14389,14401,14407,
14411,14419,14423,14431,14437,14447,14449,14461,
14479,14489,14503,14519,14533,14537,14543,14549,
14551,14557,14561,14563,14591,14593,14621,14627,
14629,14633,14639,14653,14657,14669,14683,14699,
14713,14717,14723,14731,14737,14741,14747,14753,
14759,14767,14771,14779,14783,14797,14813,14821,
14827,14831,14843,14851,14867,14869,14879,14887,
14891,14897,14923,14929,14939,14947,14951,14957,
14969,14983,15013,15017,15031,15053,15061,15073,
15077,15083,15091,15101,15107,15121,15131,15137,
15139,15149,15161,15173,15187,15193,15199,15217,
15227,15233,15241,15259,15263,15269,15271,15277,
15287,15289,15299,15307,15313,15319,15329,15331,
15349,15359,15361,15373,15377,15383,15391,15401,
15413,15427,15439,15443,15451,15461,15467,15473,
15493,15497,15511,15527,15541,15551,15559,15569,
15581,15583,15601,15607,15619,15629,15641,15643,
15647,15649,15661,15667,15671,15679,15683,15727,
15731,15733,15737,15739,15749,15761,15767,15773,
15787,15791,15797,15803,15809,15817,15823,15859,
15877,15881,15887,15889,15901,15907,15913,15919,
15923,15937,15959,15971,15973,15991,16001,16007,
16033,16057,16061,16063,16067,16069,16073,16087,
16091,16097,16103,16111,16127,16139,16141,16183,
16187,16189,16193,16217,16223,16229,16231,16249,
16253,16267,16273,16301,16319,16333,16339,16349,
16361,16363,16369,16381,16411,16417,16421,16427,
16433,16447,16451,16453,16477,16481,16487,16493,
16519,16529,16547,16553,16561,16567,16573,16603,
16607,16619,16631,16633,16649,16651,16657,16661,
16673,16691,16693,16699,16703,16729,16741,16747,
16759,16763,16787,16811,16823,16829,16831,16843,
16871,16879,16883,16889,16901,16903,16921,16927,
16931,16937,16943,16963,16979,16981,16987,16993,
17011,17021,17027,17029,17033,17041,17047,17053,
17077,17093,17099,17107,17117,17123,17137,17159,
17167,17183,17189,17191,17203,17207,17209,17231,
17239,17257,17291,17293,17299,17317,17321,17327,
17333,17341,17351,17359,17377,17383,17387,17389,
17393,17401,17417,17419,17431,17443,17449,17467,
17471,17477,17483,17489,17491,17497,17509,17519,
17539,17551,17569,17573,17579,17581,17597,17599,
17609,17623,17627,17657,17659,17669,17681,17683,
17707,17713,17729,17737,17747,17749,17761,17783,
17789,17791,17807,17827,17837,17839,17851,17863,
17881,17891,17903,17909,17911,17921,17923,17929,
17939,17957,17959,17971,17977,17981,17987,17989,
18013,18041,18043,18047,18049,18059,18061,18077,
18089,18097,18119,18121,18127,18131,18133,18143,
18149,18169,18181,18191,18199,18211,18217,18223,
18229,18233,18251,18253,18257,18269,18287,18289,
18301,18307,18311,18313,18329,18341,18353,18367,
18371,18379,18397,18401,18413,18427,18433,18439,
18443,18451,18457,18461,18481,18493,18503,18517,
18521,18523,18539,18541,18553,18583,18587,18593,
18617,18637,18661,18671,18679,18691,18701,18713,
18719,18731,18743,18749,18757,18773,18787,18793,
18797,18803,18839,18859,18869,18899,18911,18913,
18917,18919,18947,18959,18973,18979,19001,19009,
19013,19031,19037,19051,19069,19073,19079,19081,
19087,19121,19139,19141,19157,19163,19181,19183,
19207,19211,19213,19219,19231,19237,19249,19259,
19267,19273,19289,19301,19309,19319,19333,19373,
19379,19381,19387,19391,19403,19417,19421,19423,
19427,19429,19433,19441,19447,19457,19463,19469,
19471,19477,19483,19489,19501,19507,19531,19541,
19543,19553,19559,19571,19577,19583,19597,19603,
19609,19661,19681,19687,19697,19699,19709,19717,
19727,19739,19751,19753,19759,19763,19777,19793,
19801,19813,19819,19841,19843,19853,19861,19867,
19889,19891,19913,19919,19927,19937,19949,19961,
19963,19973,19979,19991,19993,19997,20011,20021,
20023,20029,20047,20051,20063,20071,20089,20101,
20107,20113,20117,20123,20129,20143,20147,20149,
20161,20173,20177,20183,20201,20219,20231,20233,
20249,20261,20269,20287,20297,20323,20327,20333,
20341,20347,20353,20357,20359,20369,20389,20393,
20399,20407,20411,20431,20441,20443,20477,20479,
20483,20507,20509,20521,20533,20543,20549,20551,
20563,20593,20599,20611,20627,20639,20641,20663,
20681,20693,20707,20717,20719,20731,20743,20747,
20749,20753,20759,20771,20773,20789,20807,20809,
20849,20857,20873,20879,20887,20897,20899,20903,
20921,20929,20939,20947,20959,20963,20981,20983,
21001,21011,21013,21017,21019,21023,21031,21059,
21061,21067,21089,21101,21107,21121,21139,21143,
21149,21157,21163,21169,21179,21187,21191,21193,
21211,21221,21227,21247,21269,21277,21283,21313,
21317,21319,21323,21341,21347,21377,21379,21383,
21391,21397,21401,21407,21419,21433,21467,21481,
21487,21491,21493,21499,21503,21517,21521,21523,
21529,21557,21559,21563,21569,21577,21587,21589,
21599,21601,21611,21613,21617,21647,21649,21661,
21673,21683,21701,21713,21727,21737,21739,21751,
21757,21767,21773,21787,21799,21803,21817,21821,
21839,21841,21851,21859,21863,21871,21881,21893,
21911,21929,21937,21943,21961,21977,21991,21997,
22003,22013,22027,22031,22037,22039,22051,22063,
22067,22073,22079,22091,22093,22109,22111,22123,
22129,22133,22147,22153,22157,22159,22171,22189,
22193,22229,22247,22259,22271,22273,22277,22279,
22283,22291,22303,22307,22343,22349,22367,22369,
22381,22391,22397,22409,22433,22441,22447,22453,
22469,22481,22483,22501,22511,22531,22541,22543,
22549,22567,22571,22573,22613,22619,22621,22637,
22639,22643,22651,22669,22679,22691,22697,22699,
22709,22717,22721,22727,22739,22741,22751,22769,
22777,22783,22787,22807,22811,22817,22853,22859,
22861,22871,22877,22901,22907,22921,22937,22943,
22961,22963,22973,22993,23003,23011,23017,23021,
23027,23029,23039,23041,23053,23057,23059,23063,
23071,23081,23087,23099,23117,23131,23143,23159,
23167,23173,23189,23197,23201,23203,23209,23227,
23251,23269,23279,23291,23293,23297,23311,23321,
23327,23333,23339,23357,23369,23371,23399,23417,
23431,23447,23459,23473,23497,23509,23531,23537,
23539,23549,23557,23561,23563,23567,23581,23593,
23599,23603,23609,23623,23627,23629,23633,23663,
23669,23671,23677,23687,23689,23719,23741,23743,
23747,23753,23761,23767,23773,23789,23801,23813,
23819,23827,23831,23833,23857,23869,23873,23879,
23887,23893,23899,23909,23911,23917,23929,23957,
23971,23977,23981,23993,24001,24007,24019,24023,
24029,24043,24049,24061,24071,24077,24083,24091,
24097,24103,24107,24109,24113,24121,24133,24137,
24151,24169,24179,24181,24197,24203,24223,24229,
24239,24247,24251,24281,24317,24329,24337,24359,
24371,24373,24379,24391,24407,24413,24419,24421,
24439,24443,24469,24473,24481,24499,24509,24517,
24527,24533,24547,24551,24571,24593,24611,24623,
24631,24659,24671,24677,24683,24691,24697,24709,
24733,24749,24763,24767,24781,24793,24799,24809,
24821,24841,24847,24851,24859,24877,24889,24907,
24917,24919,24923,24943,24953,24967,24971,24977,
24979,24989,25013,25031,25033,25037,25057,25073,
25087,25097,25111,25117,25121,25127,25147,25153,
25163,25169,25171,25183,25189,25219,25229,25237,
25243,25247,25253,25261,25301,25303,25307,25309,
25321,25339,25343,25349,25357,25367,25373,25391,
25409,25411,25423,25439,25447,25453,25457,25463,
25469,25471,25523,25537,25541,25561,25577,25579,
25583,25589,25601,25603,25609,25621,25633,25639,
25643,25657,25667,25673,25679,25693,25703,25717,
25733,25741,25747,25759,25763,25771,25793,25799,
25801,25819,25841,25847,25849,25867,25873,25889,
25903,25913,25919,25931,25933,25939,25943,25951,
25969,25981,25997,25999,26003,26017,26021,26029,
26041,26053,26083,26099,26107,26111,26113,26119,
26141,26153,26161,26171,26177,26183,26189,26203,
26209,26227,26237,26249,26251,26261,26263,26267,
26293,26297,26309,26317,26321,26339,26347,26357,
26371,26387,26393,26399,26407,26417,26423,26431,
26437,26449,26459,26479,26489,26497,26501,26513,
26539,26557,26561,26573,26591,26597,26627,26633,
26641,26647,26669,26681,26683,26687,26693,26699,
26701,26711,26713,26717,26723,26729,26731,26737,
26759,26777,26783,26801,26813,26821,26833,26839,
26849,26861,26863,26879,26881,26891,26893,26903,
26921,26927,26947,26951,26953,26959,26981,26987,
26993,27011,27017,27031,27043,27059,27061,27067,
27073,27077,27091,27103,27107,27109,27127,27143,
27179,27191,27197,27211,27239,27241,27253,27259,
27271,27277,27281,27283,27299,27329,27337,27361,
27367,27397,27407,27409,27427,27431,27437,27449,
27457,27479,27481,27487,27509,27527,27529,27539,
27541,27551,27581,27583,27611,27617,27631,27647,
27653,27673,27689,27691,27697,27701,27733,27737,
27739,27743,27749,27751,27763,27767,27773,27779,
27791,27793,27799,27803,27809,27817,27823,27827,
27847,27851,27883,27893,27901,27917,27919,27941,
27943,27947,27953,27961,27967,27983,27997,28001,
28019,28027,28031,28051,28057,28069,28081,28087,
28097,28099,28109,28111,28123,28151,28163,28181,
28183,28201,28211,28219,28229,28277,28279,28283,
28289,28297,28307,28309,28319,28349,28351,28387,
28393,28403,28409,28411,28429,28433,28439,28447,
28463,28477,28493,28499,28513,28517,28537,28541,
28547,28549,28559,28571,28573,28579,28591,28597,
28603,28607,28619,28621,28627,28631,28643,28649,
28657,28661,28663,28669,28687,28697,28703,28711,
28723,28729,28751,28753,28759,28771,28789,28793,
28807,28813,28817,28837,28843,28859,28867,28871,
28879,28901,28909,28921,28927,28933,28949,28961,
28979,29009,29017,29021,29023,29027,29033,29059,
29063,29077,29101,29123,29129,29131,29137,29147,
29153,29167,29173,29179,29191,29201,29207,29209,
29221,29231,29243,29251,29269,29287,29297,29303,
29311,29327,29333,29339,29347,29363,29383,29387,
29389,29399,29401,29411,29423,29429,29437,29443,
29453,29473,29483,29501,29527,29531,29537,29567,
29569,29573,29581,29587,29599,29611,29629,29633,
29641,29663,29669,29671,29683,29717,29723,29741,
29753,29759,29761,29789,29803,29819,29833,29837,
29851,29863,29867,29873,29879,29881,29917,29921,
29927,29947,29959,29983,29989,30011,30013,30029,
30047,30059,30071,30089,30091,30097,30103,30109,
30113,30119,30133,30137,30139,30161,30169,30181,
30187,30197,30203,30211,30223,30241,30253,30259,
30269,30271,30293,30307,30313,30319,30323,30341,
30347,30367,30389,30391,30403,30427,30431,30449,
30467,30469,30491,30493,30497,30509,30517,30529,
30539,30553,30557,30559,30577,30593,30631,30637,
30643,30649,30661,30671,30677,30689,30697,30703,
30707,30713,30727,30757,30763,30773,30781,30803,
30809,30817,30829,30839,30841,30851,30853,30859,
30869,30871,30881,30893,30911,30931,30937,30941,
30949,30971,30977,30983,31013,31019,31033,31039,
31051,31063,31069,31079,31081,31091,31121,31123,
31139,31147,31151,31153,31159,31177,31181,31183,
31189,31193,31219,31223,31231,31237,31247,31249,
31253,31259,31267,31271,31277,31307,31319,31321,
31327,31333,31337,31357,31379,31387,31391,31393,
31397,31469,31477,31481,31489,31511,31513,31517,
31531,31541,31543,31547,31567,31573,31583,31601,
31607,31627,31643,31649,31657,31663,31667,31687,
31699,31721,31723,31727,31729,31741,31751,31769,
31771,31793,31799,31817,31847,31849,31859,31873,
31883,31891,31907,31957,31963,31973,31981,31991,
32003,32009,32027,32029,32051,32057,32059,32063,
32069,32077,32083,32089,32099,32117,32119,32141,
32143,32159,32173,32183,32189,32191,32203,32213,
32233,32237,32251,32257,32261,32297,32299,32303,
32309,32321,32323,32327,32341,32353,32359,32363,
32369,32371,32377,32381,32401,32411,32413,32423,
32429,32441,32443,32467,32479,32491,32497,32503,
32507,32531,32533,32537,32561,32563,32569,32573,
32579,32587,32603,32609,32611,32621,32633,32647,
32653,32687,32693,32707,32713,32717,32719,32749,
32771,32779,32783,32789,32797,32801,32803,32831,
32833,32839,32843,32869,32887,32909,32911,32917,
32933,32939,32941,32957,32969,32971,32983,32987,
32993,32999,33013,33023,33029,33037,33049,33053,
33071,33073,33083,33091,33107,33113,33119,33149,
33151,33161,33179,33181,33191,33199,33203,33211,
33223,33247,33287,33289,33301,33311,33317,33329,
33331,33343,33347,33349,33353,33359,33377,33391,
33403,33409,33413,33427,33457,33461,33469,33479,
33487,33493,33503,33521,33529,33533,33547,33563,
33569,33577,33581,33587,33589,33599,33601,33613,
33617,33619,33623,33629,33637,33641,33647,33679,
33703,33713,33721,33739,33749,33751,33757,33767,
33769,33773,33791,33797,33809,33811,33827,33829,
33851,33857,33863,33871,33889,33893,33911,33923,
33931,33937,33941,33961,33967,33997,34019,34031,
34033,34039,34057,34061,34123,34127,34129,34141,
34147,34157,34159,34171,34183,34211,34213,34217,
34231,34253,34259,34261,34267,34273,34283,34297,
34301,34303,34313,34319,34327,34337,34351,34361,
34367,34369,34381,34403,34421,34429,34439,34457,
34469,34471,34483,34487,34499,34501,34511,34513,
34519,34537,34543,34549,34583,34589,34591,34603,
34607,34613,34631,34649,34651,34667,34673,34679,
34687,34693,34703,34721,34729,34739,34747,34757,
34759,34763,34781,34807,34819,34841,34843,34847,
34849,34871,34877,34883,34897,34913,34919,34939,
34949,34961,34963,34981,35023,35027,35051,35053,
35059,35069,35081,35083,35089,35099,35107,35111,
35117,35129,35141,35149,35153,35159,35171,35201,
35221,35227,35251,35257,35267,35279,35281,35291,
35311,35317,35323,35327,35339,35353,35363,35381,
35393,35401,35407,35419,35423,35437,35447,35449,
35461,35491,35507,35509,35521,35527,35531,35533,
35537,35543,35569,35573,35591,35593,35597,35603,
35617,35671,35677,35729,35731,35747,35753,35759,
35771,35797,35801,35803,35809,35831,35837,35839,
35851,35863,35869,35879,35897,35899,35911,35923,
35933,35951,35963,35969,35977,35983,35993,35999,
36007,36011,36013,36017,36037,36061,36067,36073,
36083,36097,36107,36109,36131,36137,36151,36161,
36187,36191,36209,36217,36229,36241,36251,36263,
36269,36277,36293,36299,36307,36313,36319,36341,
36343,36353,36373,36383,36389,36433,36451,36457,
36467,36469,36473,36479,36493,36497,36523,36527,
36529,36541,36551,36559,36563,36571,36583,36587,
36599,36607,36629,36637,36643,36653,36671,36677,
36683,36691,36697,36709,36713,36721,36739,36749,
36761,36767,36779,36781,36787,36791,36793,36809,
36821,36833,36847,36857,36871,36877,36887,36899,
36901,36913,36919,36923,36929,36931,36943,36947,
36973,36979,36997,37003,37013,37019,37021,37039,
37049,37057,37061,37087,37097,37117,37123,37139,
37159,37171,37181,37189,37199,37201,37217,37223,
37243,37253,37273,37277,37307,37309,37313,37321,
37337,37339,37357,37361,37363,37369,37379,37397,
37409,37423,37441,37447,37463,37483,37489,37493,
37501,37507,37511,37517,37529,37537,37547,37549,
37561,37567,37571,37573,37579,37589,37591,37607,
37619,37633,37643,37649,37657,37663,37691,37693,
37699,37717,37747,37781,37783,37799,37811,37813,
37831,37847,37853,37861,37871,37879,37889,37897,
37907,37951,37957,37963,37967,37987,37991,37993,
37997,38011,38039,38047,38053,38069,38083,38113,
38119,38149,38153,38167,38177,38183,38189,38197,
38201,38219,38231,38237,38239,38261,38273,38281,
38287,38299,38303,38317,38321,38327,38329,38333,
38351,38371,38377,38393,38431,38447,38449,38453,
38459,38461,38501,38543,38557,38561,38567,38569,
38593,38603,38609,38611,38629,38639,38651,38653,
38669,38671,38677,38693,38699,38707,38711,38713,
38723,38729,38737,38747,38749,38767,38783,38791,
38803,38821,38833,38839,38851,38861,38867,38873,
38891,38903,38917,38921,38923,38933,38953,38959,
38971,38977,38993,39019,39023,39041,39043,39047,
39079,39089,39097,39103,39107,39113,39119,39133,
39139,39157,39161,39163,39181,39191,39199,39209,
39217,39227,39229,39233,39239,39241,39251,39293,
39301,39313,39317,39323,39341,39343,39359,39367,
39371,39373,39383,39397,39409,39419,39439,39443,
39451,39461,39499,39503,39509,39511,39521,39541,
39551,39563,39569,39581,39607,39619,39623,39631,
39659,39667,39671,39679,39703,39709,39719,39727,
39733,39749,39761,39769,39779,39791,39799,39821,
39827,39829,39839,39841,39847,39857,39863,39869,
39877,39883,39887,39901,39929,39937,39953,39971,
39979,39983,39989,40009,40013,40031,40037,40039,
40063,40087,40093,40099,40111,40123,40127,40129,
40151,40153,40163,40169,40177,40189,40193,40213,
40231,40237,40241,40253,40277,40283,40289,40343,
40351,40357,40361,40387,40423,40427,40429,40433,
40459,40471,40483,40487,40493,40499,40507,40519,
40529,40531,40543,40559,40577,40583,40591,40597,
40609,40627,40637,40639,40693,40697,40699,40709,
40739,40751,40759,40763,40771,40787,40801,40813,
40819,40823,40829,40841,40847,40849,40853,40867,
40879,40883,40897,40903,40927,40933,40939,40949,
40961,40973,40993,41011,41017,41023,41039,41047,
41051,41057,41077,41081,41113,41117,41131,41141,
41143,41149,41161,41177,41179,41183,41189,41201,
41203,41213,41221,41227,41231,41233,41243,41257,
41263,41269,41281,41299,41333,41341,41351,41357,
41381,41387,41389,41399,41411,41413,41443,41453,
41467,41479,41491,41507,41513,41519,41521,41539,
41543,41549,41579,41593,41597,41603,41609,41611,
41617,41621,41627,41641,41647,41651,41659,41669,
41681,41687,41719,41729,41737,41759,41761,41771,
41777,41801,41809,41813,41843,41849,41851,41863,
41879,41887,41893,41897,41903,41911,41927,41941,
41947,41953,41957,41959,41969,41981,41983,41999,
42013,42017,42019,42023,42043,42061,42071,42073,
42083,42089,42101,42131,42139,42157,42169,42179,
42181,42187,42193,42197,42209,42221,42223,42227,
42239,42257,42281,42283,42293,42299,42307,42323,
42331,42337,42349,42359,42373,42379,42391,42397,
42403,42407,42409,42433,42437,42443,42451,42457,
42461,42463,42467,42473,42487,42491,42499,42509,
42533,42557,42569,42571,42577,42589,42611,42641,
42643,42649,42667,42677,42683,42689,42697,42701,
42703,42709,42719,42727,42737,42743,42751,42767,
42773,42787,42793,42797,42821,42829,42839,42841,
42853,42859,42863,42899,42901,42923,42929,42937,
42943,42953,42961,42967,42979,42989,43003,43013,
43019,43037,43049,43051,43063,43067,43093,43103,
43117,43133,43151,43159,43177,43189,43201,43207,
43223,43237,43261,43271,43283,43291,43313,43319,
43321,43331,43391,43397,43399,43403,43411,43427,
43441,43451,43457,43481,43487,43499,43517,43541,
43543,43573,43577,43579,43591,43597,43607,43609,
43613,43627,43633,43649,43651,43661,43669,43691,
43711,43717,43721,43753,43759,43777,43781,43783,
43787,43789,43793,43801,43853,43867,43889,43891,
43913,43933,43943,43951,43961,43963,43969,43973,
43987,43991,43997,44017,44021,44027,44029,44041,
44053,44059,44071,44087,44089,44101,44111,44119,
44123,44129,44131,44159,44171,44179,44189,44201,
44203,44207,44221,44249,44257,44263,44267,44269,
44273,44279,44281,44293,44351,44357,44371,44381,
44383,44389,44417,44449,44453,44483,44491,44497,
44501,44507,44519,44531,44533,44537,44543,44549,
44563,44579,44587,44617,44621,44623,44633,44641,
44647,44651,44657,44683,44687,44699,44701,44711,
44729,44741,44753,44771,44773,44777,44789,44797,
44809,44819,44839,44843,44851,44867,44879,44887,
44893,44909,44917,44927,44939,44953,44959,44963,
44971,44983,44987,45007,45013,45053,45061,45077,
45083,45119,45121,45127,45131,45137,45139,45161,
45179,45181,45191,45197,45233,45247,45259,45263,
45281,45289,45293,45307,45317,45319,45329,45337,
45341,45343,45361,45377,45389,45403,45413,45427,
45433,45439,45481,45491,45497,45503,45523,45533,
45541,45553,45557,45569,45587,45589,45599,45613,
45631,45641,45659,45667,45673,45677,45691,45697,
45707,45737,45751,45757,45763,45767,45779,45817,
45821,45823,45827,45833,45841,45853,45863,45869,
45887,45893,45943,45949,45953,45959,45971,45979,
45989,46021,46027,46049,46051,46061,46073,46091,
46093,46099,46103,46133,46141,46147,46153,46171,
46181,46183,46187,46199,46219,46229,46237,46261,
46271,46273,46279,46301,46307,46309,46327,46337,
];

function
factor_int(n)
{
	var d, k, m;

	n = Math.abs(n);

	if (n < 2)
		return;

	for (k = 0; k < primetab.length; k++) {

		d = primetab[k];

		m = 0;

		while (n % d == 0) {
			n /= d;
			m++;
		}

		if (m == 0)
			continue;

		push_integer(d);
		push_integer(m);

		if (n == 1)
			return;
	}

	push_integer(n);
	push_integer(1);
}
